Profit, revenue and cost are related, and can be calculated from one another.
The profit function is [tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]The domain of the profit function is x > 0The profit when producing 60 items is 1650The profit when producing 70 items is 1600The cost function is given as:
[tex]\mathbf{C(x) =30x + 150}[/tex]
The revenue function is given as:
[tex]\mathbf{R(x) =-0.5(x -90)^2 + 4050}[/tex]
(a) Calculate the profit function
This is calculated using:
[tex]\mathbf{P(x) = R(x) - C(x)}[/tex]
So, we have:
[tex]\mathbf{P(x) =-0.5(x -90)^2 + 4050 - 30x - 150}[/tex]
Evaluate like terms
[tex]\mathbf{P(x) =-0.5(x -90)^2 - 30x + 3900}[/tex]
(b) The domain of the profit function
When profit is 0 or less, then it becomes no profit.
Hence, the domain of the profit function is x > 0
(c) The profit for 60 and 70 items
Substitute 60 and 70 for x in P(x)
[tex]\mathbf{P(60) =-0.5(60 -90)^2 - 30 \times 60 + 3900}[/tex]
[tex]\mathbf{P(60) =1650}[/tex]
The profit when producing 60 items is 1650
[tex]\mathbf{P(70) =-0.5(70 -90)^2 - 30 \times 70 + 3900}[/tex]
[tex]\mathbf{P(70) = 1500}[/tex]
The profit when producing 70 items is 1600
(d) Why producing 10 more units less profit
When a function reaches the optimal value, the value of the function begins to reduce.
This means that, producing 10 more units takes the profit function beyond its maximum point.
Read more about profit, cost and revenue at:
https://brainly.com/question/11384352
What is: 17/21 + 1/3 - 5/7 as a fraction in simplest form?
(Giving brainliest, 5 stars and a thanks)
Answer:
3/7
Step-by-step explanation:
Just number three pls give right answer and will give brainless
Answer:
i think 34
Step-by-step explanation:
because thats the answer i got on calculator
What is 64 minutes as mixed number? (i'm pretty sure it might be
[tex]1 \frac{?}{?} [/tex]
but i don't know)
Answer:
1 1/15
Step-by-step explanation:
64 minutes is the same thing as 64/60 minutes.
64 goes into 60 once. 64-60=4, so that would be your numerator. You would keep the denominator as 60, since it's still out of 60.
If you put those numbers together your fraction would be
1 and 4/60, if you want to simplify, 60/4=15, so 1 and 1/15 would be your fraction.
Hope this helped!
A A color printer prints 23 pages in 8 minutes.
How many minutes does it take per page?
Answer:
almost 3 pages
Step-by-step explanation:
take 23 divided by 8 =2.875
Find the shaded area
Answer:
30
Step-by-step explanation:
Use the Pythagorean Theorem to find the missing length and
then round the result to the nearest tenth.
a = 12, b = 12, C =
Step-by-step explanation:
c = 12√2. or 16.968.
hope this helps you.
Since both a & b have the same measurements, the triangle is a right angled isosceles triangle (we use pythagorean theorem only for right angled triangles). So, C is obviously the hypotenuse of the triangle (the longest side).
According to the pythagorean theorem,
Hypotenuse² = Base² + Altitude²
C² = A² + B²
C² = 12² + 12²
C² = 144 + 144
C² = 288
C = √288
C = 16.975
C = 17 (approx.)
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RainbowSalt2222 ☔
A radioactive substance decays exponentially. A scientist begins with 150 milligrams of a radioactive substance. After 20 hours, 75 mg of the substance remains. How many milligrams will remain after 27 hours?
Answer:
Step-by-step explanation:
Which of the following is an equivalent form of the compound inequality
Answer:
pls mark brainy
Step-by-step explanation:
option (d) is correct.
An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
Step-by-step explanation:
Given a compound inequality −44 > −2x − 8 ≥ −8
We have to write an equivalent form of compound inequality.
Compound inequality consists of two inequalities joined together and the solution is the intersection of each inequality.
Compound inequality has two sides the left hand side and right hand side we can solve them by taking each inequality one at a time.
For given compound inequality, −44 > −2x − 8 ≥ −8
we have
Left side of inequality as −44 > −2x − 8
and right side of inequality as −2x − 8 ≥ −8
Thus, option (d) is correct.
Thus, An equivalent form of the given compound inequality −44 > −2x − 8 ≥ −8 is −44 > −2x − 8 and −2x − 8 ≥ −8
I know that x + 2 is a factor of P(x) = 2x^{3} + 5x^{2} + 5x + 6, but I just don't know how to do the second half
Answer:
explain it again
Step-by-step explanation:
i don't understand
I need help!!! Answer asap plz
A number cube will be rolled 100 times as part of an experiment. Which calculation would you use to predict the number of times a 4 will be rolled?
A. (36)(1/4)
B. (100)(1/4)
C. (100)(1/6)
D. (36)(1/4)
No links please
how to make it guys please
Answer:
were is the qn?
Step-by-step explanation:
What is the solution of the system of equations?
your desmos graph is really weird as the point is between 4 and 8 but with the one y=-x+5 we can see that the y intercept is 5 and the x value is 0
so the point is 0,5
Please help me with this problem
Hello this will be easy for you.
Look at the picture, you have the angle UTR which is of 90° degrees. Thus the angle UTS is also 90° .
But the sum of the angles of a triangle is by property equal to 180° so the angle UVT must be equal to 180-90-64 = 26°.
Now we are getting near to solve that x+8 degrees angle.
Recall that UVT is 26° ok ? So 180-26 = x+8
Thus
x+8 = 154
x = 154 - 8
x = 146
Finally the angle UVS = 154 and the value of x = 146
You can see all the angles in the image attached below
Good luck you will be the best
A board that measures 3/4 feet long is cut into 6 equal pieces. What is the length of each piece?
Answer:
See below:
Step-by-step explanation:
So we know that there is a [tex]\frac{3}{4}[/tex] feet long board and that it is split into 6 pieces.
With that information, we can split it by doing the following:
1. [tex]\frac{3}{4} *\frac{1}{6}[/tex]
We can do this because we have a board that is 0.75 feet long and we multiply it by one sixth because we want to divide a fraction and to do that we have to flip the fraction.
After doing that, we get our answer of [tex]\frac{3}{24}=\frac{1}{8}[/tex]
This means that each piece is [tex]\frac{1}{8}[/tex] feet long.
Cheers!
Answer:
3/24 feet long each.
Step-by-step explanation:
You are dividing 3/4 by 6, so the expression is:
(3/4) / 6
You can rewrite this as:
(3/4) * (1/6)
Then, multiply across, with the numerator of the new fraction being (3 * 1) and the denominator being (4 * 6)
Your answer becomes 3/24
What is the measure of angle 1
Help help help help please please e
In circle O, what is mArc A E?
Answer:
Step-by-step explanation:
By using the theorem of secants intersecting externally, Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs. m∠C =. 36° =. 72° = °. …
By using the theorem of secants intersecting externally, Measure of angle formed by two secants, from a point outside the circle is half the difference of the measures of the intercepted arcs. m∠C =. 36° =. 72° = °. …
A store pays $79 for a desk and marks the price up by 10%. What is the new price?
Answer: 86.90$
Step-by-step explanation:
10/79=7.90$. 7.90$ + 79.00$= 86.90$
A grower packs 4,568 peaches. He packs the most peaches possible, dividing them equally into 9 boxes, and then gives away the remaining peaches.
How many peaches are in each box.
How many peaches does he give away.
If he sells 7 boxes, how many peaches does he have left.
507 peaches in each box.
He gives away 5 peaches.
If he sells 7 boxes he has 1019 peaches left.
Hope this helps.
Five students wrote a quiz with the maximum score of 50. The scores of four of the students are 42,43,46 and 49. The score of the fifth student was N. The mean of the five students' scores was the same as the median of the five students' scores . What is the possible values of N .
Answer:
45
Step-by-step explanation:
avg=42+43+46+49/4
avg=180/4
n=45
How do you know whether two quantities x and y are proportional?
Answer:
I did this question for my little brother. and the answer is A. I think.
Given (x – 7)2 = 36, select the values of x.
x = 13
x = 1
x = –29
x = 42
Answer:
x = 13 and x = 1
Step-by-step explanation:
(x-7)² = 36
simplify left side of equation
x² - 14x + 49 = 36
Our object now is to get every thing on the left side of the equal sign so we can factor. To do this, we subtract 36 from both sides
x² - 14x + 13 = 0
we then factor the left side of the equation
( x - 1 ) ( x - 13 ) = 0
we then set factors equal to 0 and solve both factors for x
x - 1 = 0
add 1 to both sides
x = 1
x - 13 = 0
add 13 to both sides
x = 13
The values of x are x = 13 and x = 1
When 36x^4 + 12x^8 is divided by 12x^4, the result is
The result is 3+x^4.
Jack’s truck had used 30 gallons of fuel from a 50 gallon tank. What percentage was used? *
anwers: is 15 because I did 30 percent of 50
the table shows the pricing for four different types of gasoline which type cost the least per gallon a $20.20 for 10 galb $26.04 for 12 gal c $28.14 for 14 gal d $30.45 for 15 gal
Answer:
A is the cheapest deal.
Step-by-step explanation:
find unit rate; cost / quantity
20.20 / 10 = $2.02 per gallon
26.04 / 12 = $2.17 per gallon
28.24 / 24 = $2.01 per gallon
30.45 / 25 = $2.03 per gallon
What is the domain of the square root function graphed below?
4
-6
4
-2
6
X
15
6
Answer:
x[tex]\leq[/tex]-1
Step-by-step explanation:
Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he used 8 cups of flour, how many cups of water did he use?
options
2 2/3
4
5 1/3
12
Answer:12
Step-by-step explanation:
3 divided by 2 = 1.5
1.5x8=12
He used 12 cups of water
Have A Good Day
Which expression is equivalent to 125 in expressional form
FAST PLS
Start by prime factorising 125.
125 = 5 × 5 × 5
If you check the given options, the correct answer is :-
5³ (3rd option)
Verification:-
5³ = 5 × 5 × 5 = 125
Note :-
The 2nd option also gives 125, but they've asked for the answer in exponential form, so the 3rd option is the correct one.
________
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Hi, I got 8 points off on this problem, can you help me figure out what I did wrong?
Answer:
Possible errors: Triangle classification and definition.
Step-by-step explanation:
An isoceles triangle has at least two congruent sides of the same length.
Given the triangle that has two equal angles, and that you'll have to prove that the triangle also has two equal sides.
Using the Converse of Isoceles Triangle Theorem, where it states that if a triangle has two congruent angles < PQR ≅ < PRQ, for which opposite sides of those angles are congruent:
The opposite side of <PQR is line PR.The opposite side of <PRQ is line PQ.Additionally, connecting point P to point X along the line QR such that PX ⊥ QR, divides △PQR into two symmetrical sections, where points Q and R are equidistant from point X.
Answer:
Possible errors: Triangle classification and definition.
Situation. 11. The weather channel reported overnight rainfall of 1.5 inches and an average of 0.5 inches each hour for the remainder of the day. After how many hours will there be more than 5 inches of rain?
Answer: The amount of precipitation that falls around the world may range from less than 0.1 inch per year in some deserts to more than 900 inches per year
Step-by-step explanation: